Question 16

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Jambmaths question: 

P varies directly as Q and inversely as R , when Q  = 36 and R =16 , R = 27. Find the relation between P, Q and R

Option A: 

$P=\tfrac{12Q}{R}$

Option B: 

$P=12QR$

Option C: 

$P=\tfrac{12}{QR}$

Option D: 

$P=\tfrac{Q}{12R}$

Jamb Maths Solution: 

$\begin{align}  & p\propto \frac{Q}{R} \\ & P=\frac{KQ}{R}\text{ (}K\text{ is the proportionality constant)} \\ & \text{27=}\frac{36K}{16} \\ & K=\frac{27\times 16}{36}=12 \\ & P=\frac{12Q}{R} \\\end{align}$

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